Question
Download Solution PDFWhat is this circuit?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven circuit:
To check the behavior of the circuit analyze the given circuit at different frequencies.
\(\frac{{{V_{out}}}}{{{V_{in}}}} = \frac{{\frac{1}{{sc}}}}{{R + \frac{1}{{sc}}}}\)
\(\frac{{{V_{out}}}}{{{V_{in}}}} = \frac{1}{{sRC + 1}}\)
\({V_{out}} = \frac{1}{{sRC + 1}}{V_{in}}\)
\(\left| {\frac{{{V_{out}}}}{{{V_{in}}}}} \right| = \frac{1}{{\sqrt {1 + {\omega ^2}{R^2}{C^2}} }}\)
For ω = 0:
\(\left| {\frac{{{V_{out}}}}{{{V_{in}}}}} \right| = 1\)
For ω = ∞ (High frequency):
\(\left| {\frac{{{V_{out}}}}{{{V_{in}}}}} \right| = 0\)
Observation: The given circuit produces output for low frequencies. ∴ The given circuit is a low pass circuit.
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